{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# An RNN for short-term predictions\n",
    "This model will try to predict the next value in a short sequence based on historical data. This can be used for example to forecast demand based on a couple of weeks of sales data.\n",
    "\n",
    "<div class=\"alert alert-block alert-warning\">\n",
    "This is the solution file. The corresponding tutorial file is [00_RNN_predictions_playground.ipynb](00_RNN_predictions_playground.ipynb)\n",
    "</div>\n",
    "\n",
    "<div class=\"alert alert-block alert-info\">\n",
    "**Assignment #5**: The [final cell](#benchmark) in this notebook has a loop that benchmarks all the neural network architectures. Run it once, then if you have the time, try reducing the data sequence length from 16 to 8 (SEQLEN=8) and see how well you can still predict the next value.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tensorflow version: 1.7.0\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import utils_datagen\n",
    "import utils_display\n",
    "from matplotlib import pyplot as plt\n",
    "import tensorflow as tf\n",
    "print(\"Tensorflow version: \" + tf.__version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate fake dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Z878T2SGrMjdfGKRvmHBkLA4+xOHKEJQSVdk9YAbMF9rOAXyZ9UO+YmbGEx0y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\n4wc+cHGu36Nr9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5Us63PuSXdud3ru833OOd9TbOYlm6kZSKpT7HgqGTu5ZX+lgrFcMDfc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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120c3dc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "DATA_SEQ_LEN = 1024*128\n",
    "data = np.concatenate([utils_datagen.create_time_series(waveform, DATA_SEQ_LEN) for waveform in utils_datagen.Waveforms])\n",
    "utils_display.picture_this_1(data, DATA_SEQ_LEN)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hyperparameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "NB_EPOCHS = 10      # number of times the data is repeated during training\n",
    "RNN_CELLSIZE = 32   # size of the RNN cells\n",
    "SEQLEN = 16         # unrolled sequence length\n",
    "BATCHSIZE = 32      # mini-batch size"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualize training sequences\n",
    "This is what the neural network will see during training."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tensor shape of a batch of training sequences: (32, 16)\n",
      "Random excerpt:\n"
     ]
    },
    {
     "data": {
      "image/png": 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McZFz1XXc9d4eqmvreWfBCAK87HvOaSdr8WCYUmoo8BaNCXV+k9v9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\npN6s+91ErpXl9Azj5uzIPeOj2XKskP2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VxGTjgRytda7WuglYBFxyyjaXAAttjz8FZikn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xtUO3z69+aTJRTWNHP37P71uFNMS68TPHNtEg2tHfxu0ymtw1Ec3CcnisitbOLBBdZd8ftirpsY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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120fdfc88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "utils_display.picture_this_2(data, BATCHSIZE, SEQLEN) # execute multiple times to see different sample sequences"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The model definition\n",
    "When executed, these functions instantiates the Tensorflow graph for our model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# tree simplistic predictive models: can you beat them ?\n",
    "def simplistic_models(X):\n",
    "    # \"random\" model\n",
    "    Yrnd = tf.random_uniform([tf.shape(X)[0]], -2.0, 2.0) # tf.shape(X)[0] is the batch size\n",
    "    # \"same as last\" model\n",
    "    Ysal = X[:,-1]\n",
    "    # \"trend from last two\" model\n",
    "    Ytfl = X[:,-1] + (X[:,-1] - X[:,-2])\n",
    "    return Yrnd, Ysal, Ytfl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# linear model (RMSE: 0.36, with shuffling: 0.17)\n",
    "def linear_model(X):\n",
    "    Yout = tf.layers.dense(X, 1) # output shape [BATCHSIZE, 1]\n",
    "    return Yout"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 2-layer dense model (RMSE: 0.38, with shuffling: 0.15-0.18)\n",
    "def DNN_model(X):\n",
    "    Y = tf.layers.dense(X, SEQLEN//2, activation=tf.nn.relu)\n",
    "    Yout = tf.layers.dense(Y, 1, activation=None) # output shape [BATCHSIZE, 1]\n",
    "    return Yout"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# convolutional (RMSE: 0.31, with shuffling: 0.16)\n",
    "def CNN_model(X):\n",
    "    X = tf.expand_dims(X, axis=2) # [BATCHSIZE, SEQLEN, 1] is necessary for conv model\n",
    "    Y = tf.layers.conv1d(X, filters=8, kernel_size=4, activation=tf.nn.relu, padding=\"same\") # [BATCHSIZE, SEQLEN, 8]\n",
    "    Y = tf.layers.conv1d(Y, filters=16, kernel_size=3, activation=tf.nn.relu, padding=\"same\") # [BATCHSIZE, SEQLEN, 8]\n",
    "    Y = tf.layers.conv1d(Y, filters=8, kernel_size=1, activation=tf.nn.relu, padding=\"same\") # [BATCHSIZE, SEQLEN, 8]\n",
    "    Y = tf.layers.max_pooling1d(Y, pool_size=2, strides=2)  # [BATCHSIZE, SEQLEN//2, 8]\n",
    "    Y = tf.layers.conv1d(Y, filters=8, kernel_size=3, activation=tf.nn.relu, padding=\"same\")  # [BATCHSIZE, SEQLEN//2, 8]\n",
    "    Y = tf.layers.max_pooling1d(Y, pool_size=2, strides=2)  # [BATCHSIZE, SEQLEN//4, 8]\n",
    "    # mis-using a conv layer as linear regression :-)\n",
    "    Yout = tf.layers.conv1d(Y, filters=1, kernel_size=SEQLEN//4, activation=None, padding=\"valid\") # output shape [BATCHSIZE, 1, 1]\n",
    "    Yout = tf.squeeze(Yout, axis=-1) # output shape [BATCHSIZE, 1]\n",
    "    return Yout"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![deep RNN schematic](../../../docs/images/RNN1.svg)\n",
    "<div style=\"text-align: right; font-family: monospace\">\n",
    "  X shape [BATCHSIZE, SEQLEN, 1]<br/>\n",
    "  Y shape [BATCHSIZE, SEQLEN, 1]<br/>\n",
    "  H shape [BATCHSIZE, RNN_CELLSIZE*NLAYERS]\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# RNN model (RMSE: 0.38, with shuffling 0.14, the same with loss on last 8)\n",
    "def RNN_model(X, n=1):\n",
    "    # 2-layer RNN\n",
    "    X = tf.expand_dims(X, axis=2) # [BATCHSIZE, SEQLEN, 1] is necessary for RNN model\n",
    "    cell1 = tf.nn.rnn_cell.GRUCell(RNN_CELLSIZE)\n",
    "    cell2 = tf.nn.rnn_cell.GRUCell(RNN_CELLSIZE)\n",
    "    cell = tf.nn.rnn_cell.MultiRNNCell([cell1, cell2], state_is_tuple=False)\n",
    "    Yn, H = tf.nn.dynamic_rnn(cell, X, dtype=tf.float32) # Yn [BATCHSIZE, SEQLEN, RNN_CELLSIZE]\n",
    "    \n",
    "    # regression head\n",
    "    batchsize = tf.shape(X)[0]\n",
    "    Yn = tf.reshape(Yn, [batchsize*SEQLEN, RNN_CELLSIZE])\n",
    "    Yr = tf.layers.dense(Yn, 1) # Yr [BATCHSIZE*SEQLEN, 1]\n",
    "    Yr = tf.reshape(Yr, [batchsize, SEQLEN, 1]) # Yr [BATCHSIZE, SEQLEN, 1]\n",
    "    \n",
    "    # In this RNN model, you can compute the loss on the last predicted item or the lats n predicted items\n",
    "    # Last n is slightly better.\n",
    "    Yout = Yr[:,-n:SEQLEN,:] # last item(s) in sequence: output shape [BATCHSIZE, n, 1]\n",
    "    Yout = tf.squeeze(Yout, axis=-1)\n",
    "    return Yout"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def RNN_model_N(X): return RNN_model(X, n=SEQLEN//2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def model_fn(features, labels, model):\n",
    "    X = features # shape [BATCHSIZE, SEQLEN]\n",
    "    \n",
    "    Y = model(X)\n",
    "\n",
    "    last_label = labels[:, -1] # last item in sequence: the target value to predict\n",
    "    last_labels = labels[:, -tf.shape(Y)[1]:SEQLEN] # last p items in sequence (as many as in Y), useful for RNN_model(X, n>1)\n",
    "\n",
    "    loss = tf.losses.mean_squared_error(Y, last_labels) # loss computed on last label(s)\n",
    "    optimizer = tf.train.AdamOptimizer(learning_rate=0.01)\n",
    "    train_op = optimizer.minimize(loss)\n",
    "    Yrnd, Ysal, Ytfl = simplistic_models(X)\n",
    "    eval_metrics = {\"RMSE\": tf.sqrt(loss),\n",
    "                    # compare agains three simplistic predictive models: can you beat them ?\n",
    "                    \"RMSErnd\": tf.sqrt(tf.losses.mean_squared_error(Yrnd, last_label)),\n",
    "                    \"RMSEsal\": tf.sqrt(tf.losses.mean_squared_error(Ysal, last_label)),\n",
    "                    \"RMSEtfl\": tf.sqrt(tf.losses.mean_squared_error(Ytfl, last_label))}\n",
    "    \n",
    "    Yout = Y[:,-1]\n",
    "    return Yout, loss, eval_metrics, train_op"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# prepare training dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# training to predict the same sequence shifted by one (next value)\n",
    "labeldata = np.roll(data, -1)\n",
    "# slice data into sequences\n",
    "traindata = np.reshape(data, [-1, SEQLEN])\n",
    "labeldata = np.reshape(labeldata, [-1, SEQLEN])\n",
    "\n",
    "# also make an evaluation dataset by randomly subsampling our fake data\n",
    "EVAL_SEQUENCES = DATA_SEQ_LEN*4//SEQLEN//4\n",
    "joined_data = np.stack([traindata, labeldata], axis=1) # new shape is [N_sequences, 2(train/eval), SEQLEN]\n",
    "joined_evaldata = joined_data[np.random.choice(joined_data.shape[0], EVAL_SEQUENCES, replace=False)]\n",
    "evaldata = joined_evaldata[:,0,:]\n",
    "evallabels = joined_evaldata[:,1,:]\n",
    "\n",
    "def datasets(nb_epochs):\n",
    "    # Dataset API for batching, shuffling, repeating\n",
    "    dataset = tf.data.Dataset.from_tensor_slices((traindata, labeldata))\n",
    "    dataset = dataset.repeat(NB_EPOCHS)\n",
    "    dataset = dataset.shuffle(DATA_SEQ_LEN*4//SEQLEN) # important ! Number of sequences in shuffle buffer: all of them\n",
    "    dataset = dataset.batch(BATCHSIZE)\n",
    "    \n",
    "    # Dataset API for batching\n",
    "    evaldataset = tf.data.Dataset.from_tensor_slices((evaldata, evallabels))\n",
    "    evaldataset = evaldataset.repeat()\n",
    "    evaldataset = evaldataset.batch(EVAL_SEQUENCES) # just one batch with everything\n",
    "\n",
    "    # Some boilerplate code...\n",
    "    \n",
    "    # this creates a Tensorflow iterator of the correct type and shape\n",
    "    # compatible with both our training and eval datasets\n",
    "    tf_iter = tf.data.Iterator.from_structure(dataset.output_types, dataset.output_shapes)\n",
    "    # it can be initialized to iterate through the training dataset\n",
    "    dataset_init_op = tf_iter.make_initializer(dataset)\n",
    "    # or it can be initialized to iterate through the eval dataset\n",
    "    evaldataset_init_op = tf_iter.make_initializer(evaldataset)\n",
    "    # Returns the tensorflow nodes needed by our model_fn.\n",
    "    features, labels = tf_iter.get_next()\n",
    "    # When these nodes will be executed (sess.run) in the training or eval loop,\n",
    "    # they will output the next batch of data.\n",
    "\n",
    "    # Note: when you do not need to swap the dataset (like here between train/eval) just use\n",
    "    # features, labels = dataset.make_one_shot_iterator().get_next()\n",
    "    # TODO: easier with tf.estimator.inputs.numpy_input_fn ???\n",
    "    \n",
    "    return features, labels, dataset_init_op, evaldataset_init_op"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Instantiate the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "tf.reset_default_graph() # restart model graph from scratch\n",
    "# instantiate the dataset\n",
    "features, labels, dataset_init_op, evaldataset_init_op = datasets(NB_EPOCHS)\n",
    "# instantiate the model\n",
    "Yout, loss, eval_metrics, train_op = model_fn(features, labels, RNN_model_N)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initialize Tensorflow session\n",
    "This resets all neuron weights and biases to initial random values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# variable initialization\n",
    "sess = tf.Session()\n",
    "init = tf.global_variables_initializer()\n",
    "sess.run(init)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The training loop\n",
    "You can re-execute this cell to continue training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epoch 0, batch 0, loss=1.2599589\n",
      "epoch 0, batch 300, loss=0.039004833\n",
      "epoch 0, batch 600, loss=0.03353732\n",
      "epoch 0, batch 900, loss=0.03428724\n",
      "epoch 1, batch 1200, loss=0.033613183\n",
      "epoch 1, batch 1500, loss=0.029858503\n",
      "epoch 1, batch 1800, loss=0.02971495\n",
      "epoch 2, batch 2100, loss=0.030518927\n",
      "epoch 2, batch 2400, loss=0.027234547\n",
      "epoch 2, batch 2700, loss=0.03299717\n",
      "epoch 2, batch 3000, loss=0.019356418\n",
      "epoch 3, batch 3300, loss=0.027614202\n",
      "epoch 3, batch 3600, loss=0.028481482\n",
      "epoch 3, batch 3900, loss=0.027652677\n",
      "epoch 4, batch 4200, loss=0.025020868\n",
      "epoch 4, batch 4500, loss=0.02211198\n",
      "epoch 4, batch 4800, loss=0.02614966\n",
      "epoch 4, batch 5100, loss=0.025390655\n",
      "epoch 5, batch 5400, loss=0.023801558\n",
      "epoch 5, batch 5700, loss=0.028377267\n",
      "epoch 5, batch 6000, loss=0.025144458\n",
      "epoch 6, batch 6300, loss=0.024307378\n",
      "epoch 6, batch 6600, loss=0.025642563\n",
      "epoch 6, batch 6900, loss=0.021421358\n",
      "epoch 7, batch 7200, loss=0.02262141\n",
      "epoch 7, batch 7500, loss=0.023004318\n",
      "epoch 7, batch 7800, loss=0.022867803\n",
      "epoch 7, batch 8100, loss=0.021920772\n",
      "epoch 8, batch 8400, loss=0.02304533\n",
      "epoch 8, batch 8700, loss=0.023069406\n",
      "epoch 8, batch 9000, loss=0.02321675\n",
      "epoch 9, batch 9300, loss=0.024516955\n",
      "epoch 9, batch 9600, loss=0.023614021\n",
      "epoch 9, batch 9900, loss=0.022883773\n",
      "epoch 9, batch 10200, loss=0.023282623\n",
      "Final accuracy on eval dataset:\n",
      "{'RMSE': 0.15084797, 'RMSErnd': 1.5370655, 'RMSEsal': 0.4106579, 'RMSEtfl': 0.3377973}\n"
     ]
    }
   ],
   "source": [
    "count = 0\n",
    "losses = []\n",
    "indices = []\n",
    "sess.run(dataset_init_op)\n",
    "while True:\n",
    "    try: loss_, _ = sess.run([loss, train_op])\n",
    "    except tf.errors.OutOfRangeError: break\n",
    "    # print progress\n",
    "    if count%300 == 0:\n",
    "        epoch = count // (DATA_SEQ_LEN*4//BATCHSIZE//SEQLEN)\n",
    "        print(\"epoch \" + str(epoch) + \", batch \" + str(count) + \", loss=\" + str(loss_))\n",
    "    if count%10 == 0:\n",
    "        losses.append(np.mean(loss_))\n",
    "        indices.append(count)\n",
    "    count += 1\n",
    "    \n",
    "# final evaluation\n",
    "sess.run(evaldataset_init_op)\n",
    "eval_metrics_, Yout_ = sess.run([eval_metrics, Yout])\n",
    "print(\"Final accuracy on eval dataset:\")\n",
    "print(str(eval_metrics_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Pd+TptXWHlJwQqagwp34+fZBiwp2aNjhJ4U6HBnaL0c0vrNdpKfGa3befbpzU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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1240e5f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.ylim(ymax=np.amax(losses[1:])) # ignore first value(s) for scaling\n",
    "plt.plot(indices, losses)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Wfdcv3PUjonhjYxoLEzP405Q+Rsexa2XVddwxfyf+nV1YcudIgn3ad90PV2cT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\nPVNFvr4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1114def60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# execute multiple times to see different sample sequences\n",
    "utils_display.picture_this_3(Yout_, evaldata, evallabels, SEQLEN)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name=\"benchmark\"></a>\n",
    "## Benchmark\n",
    "Benchmark all the algorithms. This takes a while (approx. 10 min)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<function linear_model at 0x120c48598>\n",
      "{'RMSE': 0.21979176, 'RMSErnd': 1.5322562, 'RMSEsal': 0.4106579, 'RMSEtfl': 0.3377973}\n",
      "<function DNN_model at 0x109e81e18>\n",
      "{'RMSE': 0.2095209, 'RMSErnd': 1.5527531, 'RMSEsal': 0.4106579, 'RMSEtfl': 0.3377973}\n",
      "WARNING:tensorflow:From /Library/Frameworks/Python.framework/Versions/3.6/lib/python3.6/site-packages/tensorflow/python/util/deprecation.py:497: calling conv1d (from tensorflow.python.ops.nn_ops) with data_format=NHWC is deprecated and will be removed in a future version.\n",
      "Instructions for updating:\n",
      "`NHWC` for data_format is deprecated, use `NWC` instead\n",
      "<function CNN_model at 0x109e818c8>\n",
      "{'RMSE': 0.19297266, 'RMSErnd': 1.5345954, 'RMSEsal': 0.4106579, 'RMSEtfl': 0.3377973}\n",
      "<function RNN_model at 0x109e817b8>\n",
      "{'RMSE': 0.1627582, 'RMSErnd': 1.5594112, 'RMSEsal': 0.4106579, 'RMSEtfl': 0.3377973}\n",
      "<function RNN_model_N at 0x109e81620>\n",
      "{'RMSE': 0.15312791, 'RMSErnd': 1.5330957, 'RMSEsal': 0.4106579, 'RMSEtfl': 0.3377973}\n"
     ]
    }
   ],
   "source": [
    "NB_EPOCHS = 10\n",
    "sess.close()\n",
    "models = [linear_model, DNN_model, CNN_model, RNN_model, RNN_model_N]\n",
    "for model in models:\n",
    "    # reset tensorflow graph: start from scratch\n",
    "    tf.reset_default_graph()\n",
    "    # instantiate the dataset\n",
    "    features, labels, dataset_init_op, evaldataset_init_op = datasets(NB_EPOCHS)\n",
    "    # instantiate model\n",
    "    Yout, loss, eval_metrics, train_op = model_fn(features, labels, model)\n",
    "    init = tf.global_variables_initializer()\n",
    "    with tf.Session() as sess:\n",
    "        # training loop\n",
    "        sess.run([init, dataset_init_op])\n",
    "        while True:\n",
    "            try: sess.run(train_op)\n",
    "            except tf.errors.OutOfRangeError: break\n",
    "        # evaluation\n",
    "        sess.run(evaldataset_init_op)\n",
    "        eval_metrics_ = sess.run(eval_metrics)\n",
    "        print(str(model))\n",
    "        print(str(eval_metrics_))    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Copyright 2018 Google LLC\n",
    "\n",
    "Licensed under the Apache License, Version 2.0 (the \"License\");\n",
    "you may not use this file except in compliance with the License.\n",
    "You may obtain a copy of the License at\n",
    "[http://www.apache.org/licenses/LICENSE-2.0](http://www.apache.org/licenses/LICENSE-2.0)\n",
    "Unless required by applicable law or agreed to in writing, software\n",
    "distributed under the License is distributed on an \"AS IS\" BASIS,\n",
    "WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
    "See the License for the specific language governing permissions and\n",
    "limitations under the License."
   ]
  }
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